GCD of 224, 721, 98, 621 Calculator

Given Input numbers are 224, 721, 98, 621

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Greatest Common Divisior

We found the divisors of 224, 721, 98, 621 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 721, 98, 621 is 1.

Therefore, GCD of numbers 224, 721, 98, 621 is 1

Given Input Data is 224, 721, 98, 621

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 721 is 7 x 103

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 621 is 3 x 3 x 3 x 23

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(224, 721) = 23072

GCD(224, 721) = ( 224 x 721 ) / 23072

GCD(224, 721) = 161504 / 23072

GCD(224, 721) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 98

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(7, 98) = 98

GCD(7, 98) = ( 7 x 98 ) / 98

GCD(7, 98) = 686 / 98

GCD(7, 98) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 621

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(7, 621) = 4347

GCD(7, 621) = ( 7 x 621 ) / 4347

GCD(7, 621) = 4347 / 4347

GCD(7, 621) = 1

GCD of 224, 721, 98, 621 is 1

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1. What is the GCD of 224, 721, 98, 621?

GCD of 224, 721, 98, 621 is 1

2. Where do I get the detailed procedure to find GCD of 224, 721, 98, 621?

You can find a detailed procedure to find GCD of 224, 721, 98, 621 on our page.

3. How to find GCD of 224, 721, 98, 621 on a calculator?

You can find the GCD of 224, 721, 98, 621 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.